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Finding the Fourth Proportional to 1,622.53, 2,239.31 and 923.77

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Solution

The fourth proportional to 1,622.53, 2,239.31 and 923.77 is: 1,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.53 : 2,239.31 = 923.77 : x
  2. Step 2: Convert to fraction form
    1,622.53/2,239.31 = 923.77/x
  3. Step 3: Cross multiply
    1,622.53x = 2,239.31 × 923.77
  4. Step 4: Simplify right side
    1,622.53x = 2,068,607.40
  5. Step 5: Solve for x
    x = 2,068,607.40/1,622.53
  6. Step 6: Final answer
    x = 1,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.